Nigel makes the claim that x=6 is the solution to the equation 4(5x−12)−7x=5x. His work to support his claim follows.

Given: 4(5x−12)−7x=5x
Step 1: 20x−48−7x=5x
Step 2: 20x−7x−48=5x
Step 3: 13x−48=5x
Step 4: 13x−13x−48=5x−13x
Step 5: 0−48=−8x
Step 6: 6=x

Which of the following justifications can be used to justify and support Nigel's work?

Select all justifications that are correct.

Step 4 is justified by the Symmetric Property.
Step 6 is justified by the Associative Property.
Step 5 is justified by the Property of Additive Inverses.
Step 1 is justified by the Distributive Property.
Step 2 is justified by the Commutative Property.

Step 5 and step 3?

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

6.5

step-by-step explanation:

you said it was in the question

~courtney

step-by-step explanation:

32

step-by-step explanation: